Results 1 to 10 of about 7,243 (134)

Fitting ideals of class groups in Carlitz–Hayes cyclotomic extensions [PDF]

Journal of Number Theory, 2022
We generalize some results of Greither and Popescu to a geometric Galois cover $X\rightarrow Y$ which appears naturally for example in extensions generated by $\mathfrak{p}^n$-torsion points of a rank 1 normalized Drinfeld module (i.e. in subextensions of Carlitz-Hayes cyclotomic extensions of global fields of positive characteristic).
Bandini A., Bars F., Coscelli E.
openaire   +6 more sources

Endomorphisms of abelian varieties, cyclotomic extensions and Lie algebras [PDF]

Sbornik: Mathematics, 2010
We prove an analogue of the Tate conjecture on homomorphisms of abelian varieties over infinite cyclotomic extensions of finitely generated fields of characteristic zero.Comment: 9 ...
Ch. W. Curtis, D. Mumford, F. A. Bogomolov, F. A. Bogomolov, F. A. Bogomolov, G. Faltings, J. T. Tate, J.-P. Serre, J.-P. Serre, J.-P. Serre, J.-P. Serre, J.-P. Serre, J.-P. Serre, J.-P. Serre, J.-P. Serre, J.-P. Serre, R. Noot, Yu. G. Zarhin, Yu. G. Zarkhin (Zarhin), Yurii G Zarhin   +19 more
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Chromatic cyclotomic extensions

Geometry & Topology
We construct Galois extensions of the T(n)-local sphere, lifting all finite abelian Galois extensions of the K(n)-local sphere. This is achieved by realizing them as higher semiadditive analogues of cyclotomic extensions. Combining this with a general form of Kummer theory, we lift certain elements from the K(n)-local Picard group to the T(n)-local ...
Carmeli, S., Schlank, T., Yanovski, L. ; https://orcid.org/0000-0003-3376-1773   +2 more
openaire   +6 more sources

Cyclotomic Z2-extensions of J-fields

Journal of Number Theory, 1982
AbstractHurwitz-type relations of Iwasawa's λ2−-invariants and the 2-ranks of the “narrow” ideal class groups in the 2-extensions of J-fields are given under the assumption of the vanishing of μ2-invariants.
openaire   +3 more sources

l-Extensions of CM-fields and cyclotomic invariants

Journal of Number Theory, 1980
AbstractThe Hurwitz type relation of Iwasawa's λ−-invariants in l-extensions of CM-fields is given under the assumption of the vanishing of μ−-invariants.
openaire   +3 more sources

On the defining polynomials of maximal real cyclotomic extensions

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2008
Summary: The aim of this paper is to show that the simplest techniques of linear algebra allow us to make explicit the defining equations of the maximal real cyclotomic extensions \(\mathbb Q(\zeta+\zeta^ {-1})\) of \(\mathbb Q(\zeta)\), where \(\zeta\) stands for a primitive \(p^ \nu\)-th root of unity with \(p\) a rational prime and \(\nu\) any ...
Aranés, M., Arenas, A.
openaire   +5 more sources

Cyclotomic Units in Zp-Extensions

Journal of Algebra, 1995
Kucera, R., Nekovar, J.
openaire   +3 more sources

EXPLICIT KUMMER GENERATORS FOR CYCLOTOMIC EXTENSIONS

JP Journal of Algebra, Number Theory and Applications, 2022
Summary: If \(p\) is a prime number congruent to 1 modulo 3, then we explicitly describe an element of the cyclotomic field \(\mathbb Q(\zeta_3)\) whose third root generates the cubic subextension of \(\mathbb Q(\zeta_{3p})/\mathbb Q(\zeta_3)\). Similarly, if \(p\) is a prime number congruent to 1 modulo 4, then we explicitly describe an element of the
Hörmann, Fritz, Perucca, Antonella, Sgobba, Pietro, Tronto, Sebastiano   +3 more
openaire   +4 more sources

Minimal splitting fields in cyclotomic extensions [PDF]

Proceedings of the American Mathematical Society, 1983
Suppose G G is a finite group of exponent n n and X X an irreducible character of G G . In this note we give sufficient conditions for the existence of a minimal degree splitting field L L with Q ( X ) ⊆ L ⊆
Spiegel, Eugene, Trojan, Allan
openaire   +1 more source

A new formula for the coefficients of Gaussian polynomials

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
We deduce exact integral formulae for the coefficients of Gaussian, multinomial and Catalan polynomials. The method used by the authors in the papers [2, 3, 4] to prove some new results concerning cyclotomic and polygonal polynomials, as well as some of ...
Andrica Dorin, Bagdasar Ovidiu
doaj   +1 more source